Question 1

Quantum physics agrees with the classical physics limit when

Accepted Answer

A)  the total angular momentum is a small multiple of
  . 
B)  the total energy is a small multiple of the energy in the lowest quantized state. 
C)  the difference in energy between adjacent quantized levels becomes vanishingly small. 
D)  all electron spins are paired so that L = 0. 
E)  there is a vacancy in an inner level in the atom. 
A)  the total angular momentum is a small multiple of
  . 
B)  the total energy is a small multiple of the energy in the lowest quantized state. 
C)  the difference in energy between adjacent quantized levels becomes vanishingly small. 
D)  all electron spins are paired so that L = 0. 
E)  there is a vacancy in an inner level in the atom.

Question 2

The s, p, d, f, symbols represent values of the quantum number

Accepted Answer

A)  ms 
B)  n 
C) 
  
D) 
  
E)  mj 
A)  ms 
B)  n 
C) 
  
D) 
  
E)  mj

Question 3

Which of the following statements is true?

Accepted Answer

A) 
  can never be perpendicular to
  . 
B) 
  can be aligned parallel to
  . 
C) 
  must be perpendicular to
  . 
D) 
  can never be aligned parallel to
  . 
A) 
  can never be perpendicular to
  . 
B) 
  can be aligned parallel to
  . 
C) 
  must be perpendicular to
  . 
D) 
  can never be aligned parallel to
  .

Question 4

One of the main problems with the Bohr model of the hydrogen atom when compared with the results of the methods of quantum mechanics used to describe atoms, was that the Bohr model predicted

Accepted Answer

A)  the ground state angular momentum was L = 1
  . 
B)  the frequency of the radiation emitted when an electron "jumps" from one allowed orbit to another was hf = Ei − Ef. 
C)  the potential energy function for the hydrogen atom was given by V(r) = −ke2/r. 
D)  the energy of the ground state of the hydrogen atom was En = −13.6 eV. 
A)  the ground state angular momentum was L = 1
  . 
B)  the frequency of the radiation emitted when an electron "jumps" from one allowed orbit to another was hf = Ei − Ef. 
C)  the potential energy function for the hydrogen atom was given by V(r) = −ke2/r. 
D)  the energy of the ground state of the hydrogen atom was En = −13.6 eV.

Question 5

Adam and Eve are contemplating the beauty of the hydrogen atom. Adam claims that the quantum states with a given value of the principal quantum number n can have any value of the orbital quantum number   . Eve says that the Snake told her that a state with a given value of   could have any value of n. Which one, if either, is correct, and why?

Accepted Answer

A)  Adam, because the man is always right. 
B)  Adam because n ≤
  − 1. 
C)  Eve, because n ≤
  − 1. 
D)  Eve, because
  ≤ n − 1. 
E)  Neither, because Adam is wrong and the Snake told a subtle lie. 
A)  Adam, because the man is always right. 
B)  Adam because n ≤
  − 1. 
C)  Eve, because n ≤
  − 1. 
D)  Eve, because
  ≤ n − 1. 
E)  Neither, because Adam is wrong and the Snake told a subtle lie.

Question 6

The energy difference between the upper and lower levels in a certain laser is 1.9593 eV. What is the wavelength of the light emitted by the laser?

Accepted Answer

The answer of The energy difference between the upper and...

Question 7

A Li2+ ion undergoes a transition from the n = 4 to the n = 3 state. The energy of the emitted photon is

Accepted Answer

A)  4.5 eV 
B)  10.2 eV 
C)  5.95 eV 
D)  2.6 eV 
E)  0.66 eV 
A)  4.5 eV 
B)  10.2 eV 
C)  5.95 eV 
D)  2.6 eV 
E)  0.66 eV

Question 8

In the Bohr model of the hydrogen atom, the total energy of the electron-proton system is

Accepted Answer

A) 
  . 
B) 
  . 
C)  0. 
D) 
  . 
E) 
  . 
A) 
  . 
B) 
  . 
C)  0. 
D) 
  . 
E) 
  .

Question 9

If P(r) is the radial probability density function for an electron in the ground state of a hydrogen atom, the most probable value for r can be found from

Accepted Answer

A)  dP/dt 
B)  dP/dr 
C) 
  
D) 
  
E)  d2P/dr2 
A)  dP/dt 
B)  dP/dr 
C) 
  
D) 
  
E)  d2P/dr2

Question 10

Light is emitted by hydrogen atoms in the visible range for a hydrogen atom. Its wavelength is 656 nm. What value of n is associated with the light? (RH = 1.097 × 107 m−1)

Accepted Answer

A)  5 
B)  2 
C)  4 
D)  3 
E)  6 
A)  5 
B)  2 
C)  4 
D)  3 
E)  6

Question 11

The number of states in the He+ ion corresponding to the principle quantum number n = 5 are

Accepted Answer

A)  18 
B)  25 
C)  50 
D)  9 
E)  11 
A)  18 
B)  25 
C)  50 
D)  9 
E)  11

Question 12

The radial portion of the de Broglie wavefunction for an electron in the ground state of the hydrogen atom is Ψ1s(r) = 1/(   )1/2 exp(−r/a0) where a0 is the Bohr radius. The probability of finding the electron is

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
E) 
  
A) 
  
B) 
  
C) 
  
D) 
  
E)

Question 13

In the subshell of the Li2+ ion with orbital quantum number   , the allowed values of the magnetic quantum number   are

Accepted Answer

A)  −   to   
B)  −(  + 1)to(   + l) 
C)  − (  + 2)  to  (  + 2) 
D)  −(  + 3) to      (  + 3) 
E)  0 to n − 1 
A)  −   to   
B)  −(  + 1)to(   + l) 
C)  − (  + 2)  to  (  + 2) 
D)  −(  + 3) to      (  + 3) 
E)  0 to n − 1

Question 14

A hydrogen atom emits a photon of wavelength 657.7 nm. From what energy state to what lower energy state did the electron jump?

Accepted Answer

The answer of A hydrogen atom emits a photon of...

Question 15

An electron in a hydrogen atom makes a transition from the n = 3 to the n = 1 energy state. Determine the wavelength of the emitted photon (in nm).

Accepted Answer

A)  1006 
B)  209 
C)  306 
D)  103 
E)  821 
A)  1006 
B)  209 
C)  306 
D)  103 
E)  821

Question 16

In a completely filled atomic shell,

Accepted Answer

A)  the intrinsic spin of the electrons does not produce a resultant magnetic moment. 
B)  the orbital motion of the electrons does not produce a resultant magnetic moment. 
C)  the atom will be an alkali metal. 
D)  only (a) and (b) are correct. 
E)  none of the above are correct. 
A)  the intrinsic spin of the electrons does not produce a resultant magnetic moment. 
B)  the orbital motion of the electrons does not produce a resultant magnetic moment. 
C)  the atom will be an alkali metal. 
D)  only (a) and (b) are correct. 
E)  none of the above are correct.

Question 17

How fast is the electron moving in the first Bohr orbit?

Accepted Answer

A)  3.3 × 106 m/s 
B)  2.2 × 106 m/s 
C)  4.4 × 106 m/s 
D)  5.5 × 106 m/s 
E)  5.5 × 1015 m/s 
A)  3.3 × 106 m/s 
B)  2.2 × 106 m/s 
C)  4.4 × 106 m/s 
D)  5.5 × 106 m/s 
E)  5.5 × 1015 m/s

Question 18

Characteristic x-rays can be produced by bombarding targets with electrons. These x-rays occur when

Accepted Answer

A)  electrons from higher shells fill the vacant lower shell 
B)  electrons fill the vacant valence shell 
C)  photons are emitted with energies on the order of 103 eV 
D)  photons are emitted with wavelengths on the order of 103 nm 
A)  electrons from higher shells fill the vacant lower shell 
B)  electrons fill the vacant valence shell 
C)  photons are emitted with energies on the order of 103 eV 
D)  photons are emitted with wavelengths on the order of 103 nm

Question 19

Suppose a beam of electrons is incident on a collection of hydrogen atoms, all of which are in the lowest energy state (n = 1). What is the minimum energy the electrons can have if they are to excite the hydrogen atoms into the n = 2 state?

Accepted Answer

The answer of Suppose a beam of electrons is incident...

Question 20

A hydrogen atom is in its first excited state (n = 2). The linear momentum of the electron is (in kg ⋅ m/s)

Accepted Answer

A)  3 × 10−24 
B)  2 × 10−24 
C)  1 × 10−24 
D)  4 × 10−24 
E)  3 × 10−15 
A)  3 × 10−24 
B)  2 × 10−24 
C)  1 × 10−24 
D)  4 × 10−24 
E)  3 × 10−15

Exam 42: Atomic Physics

Quantum physics agrees with the classical physics limit when

The s, p, d, f, symbols represent values of the quantum number

Which of the following statements is true?

One of the main problems with the Bohr model of the hydrogen atom when compared with the results of the methods of quantum mechanics used to describe atoms, was that the Bohr model predicted

The energy difference between the upper and lower levels in a certain laser is 1.9593 eV. What is the wavelength of the light emitted by the laser?

A Li2+ ion undergoes a transition from the n = 4 to the n = 3 state. The energy of the emitted photon is

In the Bohr model of the hydrogen atom, the total energy of the electron-proton system is

If P(r) is the radial probability density function for an electron in the ground state of a hydrogen atom, the most probable value for r can be found from

Light is emitted by hydrogen atoms in the visible range for a hydrogen atom. Its wavelength is 656 nm. What value of n is associated with the light? (RH = 1.097 × 107 m−1)

The number of states in the He+ ion corresponding to the principle quantum number n = 5 are

The radial portion of the de Broglie wavefunction for an electron in the ground state of the hydrogen atom is Ψ1s(r) = 1/( )1/2 exp(−r/a0) where a0 is the Bohr radius. The probability of finding the electron is

In the subshell of the Li2+ ion with orbital quantum number , the allowed values of the magnetic quantum number are

A hydrogen atom emits a photon of wavelength 657.7 nm. From what energy state to what lower energy state did the electron jump?

An electron in a hydrogen atom makes a transition from the n = 3 to the n = 1 energy state. Determine the wavelength of the emitted photon (in nm).

In a completely filled atomic shell,

How fast is the electron moving in the first Bohr orbit?

Characteristic x-rays can be produced by bombarding targets with electrons. These x-rays occur when

Suppose a beam of electrons is incident on a collection of hydrogen atoms, all of which are in the lowest energy state (n = 1). What is the minimum energy the electrons can have if they are to excite the hydrogen atoms into the n = 2 state?

A hydrogen atom is in its first excited state (n = 2). The linear momentum of the electron is (in kg ⋅ m/s)

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A Li²⁺ ion undergoes a transition from the n = 4 to the n = 3 state. The energy of the emitted photon is

Light is emitted by hydrogen atoms in the visible range for a hydrogen atom. Its wavelength is 656 nm. What value of n is associated with the light? (R_H = 1.097 × 10⁷ m−¹)

The number of states in the He⁺ ion corresponding to the principle quantum number n = 5 are

The radial portion of the de Broglie wavefunction for an electron in the ground state of the hydrogen atom is Ψ₁_s(r) = 1/( )^1/2 exp(−r/a₀) where a₀ is the Bohr radius. The probability of finding the electron is

In the subshell of the Li²⁺ ion with orbital quantum number , the allowed values of the magnetic quantum number are